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Finding the Fourth Proportional to 208,490.19, 287,716.95 and 112,996.86

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Solution

The fourth proportional to 208,490.19, 287,716.95 and 112,996.86 is: 155,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,490.19 : 287,716.95 = 112,996.86 : x
  2. Step 2: Convert to fraction form
    208,490.19/287,716.95 = 112,996.86/x
  3. Step 3: Cross multiply
    208,490.19x = 287,716.95 × 112,996.86
  4. Step 4: Simplify right side
    208,490.19x = 32,511,111,918.78
  5. Step 5: Solve for x
    x = 32,511,111,918.78/208,490.19
  6. Step 6: Final answer
    x = 155,935.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.